# Q3, W5: February 3-7 Geometry Teacher Kristin Andreason Geometry Honors 8 February 3-7 Unit 4: Right Triangles and Trigonometry
Standard(s) Taught

MAFS.912.G-SRT.3.6: Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

MAFS.912.G-SRT.3.7: Explain and use the relationship between the sine and cosine of complementary angles.

MAFS.912.G-SRT.3.8:  Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

Learning Targets and Learning Criteria
• demonstrate that within a right triangle, line segments parallel to a leg create similar triangles by angle-angle similarity.
• use characteristics of similar figures to justify the trigonometric ratios.
• define the following trigonometric ratios for acute angles in a right triangle: sine, cosine, and tangent.
• calculate sine and cosine ratios for acute angles in a right triangle when given two side lengths.
•  use a diagram of a right triangle to explain that for a pair of complementary angles A and B, the sine of angle A is equal to the cosine of angle B and the cosine of angle A is equal to the sine of angle B.
• draw right triangles that describe real world problems and label the sides and angles with their given measures.
• solve application problems involving right triangles, including angle of elevation and depression, navigation, and surveying.
Classroom Activities

Monday/Tuesday:

• We will review Trigonometric Ratios
• I will teach students how to use a clinometer
• We will go outside and learn how to find the height of objects by finding the angle of elevation using a clinometer and measuring the horizontal distance from the object

Wednesday:

• Students will take notes in their ISN on Pythagorean Inequality Theorem.
• Students will do IXL Q.3.

Thursday/Friday:

• We will review for the DIA (trig being based on similar triangles)
• Students will do a Mathspace to review:  Special Right Triangles and Trig Review
Assignments Due
• IXL Q.3 is due by February 10/11.
• Mathspace should be done before they take the DIA on February 10/11.